{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#用字典学习分解法分类"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在这个主题中，我们将介绍一种可以用于分类的分解方法——字典学习（Dictionary Learning），将数据集转换成一个稀疏的形式。\n",
    "\n",
    "<!-- TEASER_END -->"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##Getting ready"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`DictionaryLearning`方法的思想是把特征看作构成数据集的基础。首先我们导入`iris`数据集："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_iris\n",
    "iris = load_iris()\n",
    "iris_data = iris.data\n",
    "iris_target = iris.target"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##How to do it..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "首先，导入`DictionaryLearning`："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.decomposition import DictionaryLearning"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "然后用三个成分表示`iris`数据集中花的类型："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "dl = DictionaryLearning(3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "再用`fit_transform`转换其他数据，这样我们就可以对比训练前后的数据了："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.        ,  6.34476574,  0.        ],\n",
       "       [ 0.        ,  5.83576461,  0.        ],\n",
       "       [ 0.        ,  6.32038375,  0.        ],\n",
       "       [ 0.        ,  5.89318572,  0.        ],\n",
       "       [ 0.        ,  5.45222715,  0.        ]])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "transformed = dl.fit_transform(iris_data[::2])\n",
    "transformed[:5]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们可以可视化这个结果。注意，每个成分的值分别平行$x$，$y$和$z$三个轴，其他坐标都是0；这就是稀疏性。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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cL1w4jiCw5dy5rY6nV3W6xonvdx/96Efv+eQnP3nZ/Pnzb/vpT3/6z1DR8K52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VAAAY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\n5JBDDp2I/w//iOywLf5AHQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8837780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "colors = np.array(list('rgb'))\n",
    "f = plt.figure()\n",
    "ax = f.add_subplot(111, projection='3d')\n",
    "ax.set_title(\"Training Set\")\n",
    "ax.scatter(transformed[:, 0], transformed[:, 1], transformed[:, 2], color=colors[iris.target[::2]]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "如果你细心看，还是会发现一些误差。有一个样本分错了类型，虽然一个错误并不是很严重。\n",
    "\n",
    "下面，让我们用`fit`而不用`fit_transform`来训练数据集："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "transformed = dl.transform(iris_data[1::2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Lx3GeN4UF+urPE85TSywv+L5/qhDiZChC2QlFNEdBTX9tV6lQKzAezRG1sv1G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2qek5B0TWrhYQDLmTnreawjDV5fiR07dqzdtm3bit69exeUlZXVFRcXb587d+7eBQsWtBhfiRJm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\nXgIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8da5ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = np.array(list('rgb'))\n",
    "f = plt.figure()\n",
    "ax = f.add_subplot(111, projection='3d')\n",
    "ax.set_title(\"Training Set\")\n",
    "ax.scatter(transformed[:, 0], transformed[:, 1], transformed[:, 2], color=colors[iris.target[1::2]]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "还是有一些分类错误的样本。如果你看看之前降维主题中的图，会发现绿色和蓝色两类数据有交叉部分。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##How it works..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "`DictionaryLearning`具有信号处理和神经学领域的背景知识。其理念是某一时刻只有少数特征可以实现。因此，`DictionaryLearning`在假设大多数特征都是0的情况下，尝试发现一个适当的数据表现形式。"
   ]
  }
 ],
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